Atlas553 of 3,942

I.A.10

m₃ = 4

From Li, Jing & Liao (2018)

I.A.10 m₃ = 4 is a periodic orbit of the planar three-body problem: three masses in the ratio 1 : 1 : 4 that return to their starting positions and velocities every 87.272 time units, published by Li, Jing & Liao (2018). Class I.A orbits found with Liao’s clean numerical simulation method, for a third body of varying mass. It is linearly stable (largest Floquet multiplier 1.000), so a small nudge only makes it wobble. The bodies pass within 0.0000485 of each other at a top speed of 363, line up 238 times a period, and the computed loop closes to 6.5×10⁻¹⁶.

Measured over one period

Period: 87.27155819
Masses: 1 : 1 : 4
Energy: -6.45367
Angular momentum: 0
Closest approach: 4.8×10⁻⁵
Top speed: 363.2
Path length: 339.01
Alignments per period: 238
Topology: ababababababaBABABABABABAbababababababABABABABABABababababababABABABABABABAbabababababaBABABABABABABababababababABABABABABAB (free-group class)
Stability: stable (|λ|max 1.000)
Loop closure: 6.5×10⁻¹⁶

Neighbours on the map

All I.A orbits, the families of periodic three-body orbits, or the atlas map.